How-To Guides
Step-by-step guides that teach you how to perform calculations manually.
How to Perform Complex Number Operations by Hand: Step-by-Step Guide
Learn to manually add, subtract, multiply, divide, and find the modulus of complex numbers. Understand formulas with examples and avoid common pitfalls.
Read guideHow to Calculate Decimal Rounding: Step-by-Step Guide
Learn to manually round decimals step-by-step! Understand place values, rounding rules, and common pitfalls. Master this essential math skill.
Read guideHow to Calculate the Greatest Integer Function (Floor Function): Step-by-Step Guide
Learn to manually calculate the greatest integer function (floor function) ⌊x⌋. Find the largest integer less than or equal to any real number x.
Read guideHow to Calculate the Reciprocal: Step-by-Step Guide
Learn to calculate the reciprocal (multiplicative inverse) of any number or fraction by hand with our easy-to-follow guide.
Read guideHow to Convert Numbers Between Bases: Step-by-Step Guide
Learn to manually convert numbers between binary, octal, decimal, hexadecimal, and other bases. Master the formulas with examples and avoid common mistakes.
Read guideHow to Calculate the Nth Root: Step-by-Step Guide
Learn to calculate any Nth root by hand using approximation! Understand the formula, follow a step-by-step example, avoid common mistakes, and know when to use a calculator.
Read guideHow to Convert Numbers to and from Scientific Notation: Step-by-Step Guide
Learn to manually convert numbers to and from scientific notation with easy steps, formulas, and examples. Master large and small numbers!
Read guideHow to Calculate Modulo (Remainder After Division): Step-by-Step Guide
Learn to calculate the modulo operation by hand! This guide explains the formula, provides a worked example, and highlights common pitfalls.
Read guideHow to Calculate Cube Roots: Step-by-Step Guide
Learn to calculate cube roots by hand, from perfect cubes to approximations. Understand the formula, follow a worked example, and avoid common pitfalls!
Read guideHow to Calculate Speed, Distance, or Time: Your Step-by-Step Guide
Learn to calculate speed, distance, or time manually using the d = s × t formula. Includes examples, unit conversion tips, and common pitfalls.
Read guideHow to Calculate Unit Rate: Step-by-Step Guide
Learn to calculate unit rate by hand. Understand the formula, worked examples, and common pitfalls. Compare prices smarter!
Read guideHow to Calculate Ratios: Step-by-Step Guide
Learn to manually calculate financial and operational ratios with a simple formula. Understand common ratios, a worked example, and pitfalls.
Read guideHow to Calculate Expanded Form: Step-by-Step Guide
Learn to write numbers in expanded form by hand! Understand place values, use the formula, and see a worked example. Perfect for students and everyday use.
Read guideHow to Calculate Place Value: Step-by-Step Guide
Learn to identify the place value of each digit in any number, from ones to hundredths. Our guide provides clear steps, examples, and common pitfalls.
Read guideHow to Round to Significant Figures: Step-by-Step Guide
Learn to round any number to a specified number of significant figures. Master the rules, follow a step-by-step example, and avoid common rounding mistakes.
Read guideHow to Convert Numbers to and from Scientific Notation: Step-by-Step Guide
Learn to manually convert numbers to and from scientific notation (a x 10^b). Understand the formula, work through examples, and avoid common errors.
Read guideHow to Calculate Modulo (Remainder): Step-by-Step Guide
Learn to calculate modulo (remainder after division) by hand! This guide provides the formula, step-by-step instructions, and a worked example.
Read guideHow to Calculate Factors and Factor Pairs: Step-by-Step Guide
Learn to manually find all factors and factor pairs of any positive integer with this step-by-step guide and worked example.
Read guideHow to Calculate 2x2 Matrices by Hand: A Step-by-Step Guide
Learn 2x2 matrix addition, multiplication, determinant, and transpose by hand with formulas, examples, and common pitfalls. Master matrix math!
Read guideHow to Calculate Exponents: Step-by-Step Guide
Master exponent calculations by hand! Learn to tackle positive, negative, and fractional powers with easy-to-follow steps and examples.
Read guideHow to Calculate Logarithms by Hand: Your Step-by-Step Guide
Learn to calculate logarithms by hand, including common, natural, and custom bases using the change-of-base formula. Understand the math!
Read guideHow to Convert Between Binary, Decimal, Hexadecimal, and Octal: Step-by-Step Guide
Learn to manually convert between binary, decimal, hexadecimal, and octal number systems with formulas, worked examples, and common pitfalls.
Read guideHow to Manually Check for Prime Numbers: A Step-by-Step Guide
Learn to manually check if any integer is prime using trial division up to its square root. Understand the method, see an example, and avoid common errors.
Read guideHow to Calculate Prime Factorization: Step-by-Step Guide
Learn to break down any number into its prime factors by hand using simple steps. Understand the formula, worked examples, and common pitfalls.
Read guideHow to Calculate Long Multiplication: Step-by-Step Guide
Learn long multiplication step-by-step! Master multiplying large numbers by hand with our clear guide, worked examples, and tips to avoid common mistakes.
Read guideHow to Calculate Long Division: Step-by-Step Guide
Learn long division with remainders step-by-step! Master the manual process with examples, formulas, and common pitfalls to avoid.
Read guideHow to Round Numbers: Step-by-Step Guide
Learn to round numbers by hand to any decimal place or whole number. Understand the rules, see examples, and avoid common mistakes.
Read guideHow to Calculate Percentages: Step-by-Step Guide
Learn to calculate percentages, increases, and decreases by hand with our easy step-by-step guide. Includes formulas, examples, and common pitfalls.
Read guideHow to Perform Basic Arithmetic: Step-by-Step Guide
Learn to perform addition, subtraction, multiplication, and division by hand with formulas, examples, and common pitfalls.
Read guideHow to Master General Math: Core Arithmetic & Number Operations
Learn core math operations like addition, subtraction, rounding, factors, primes, and sequences with step-by-step guides and examples. Master essential math skills!
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